Question

which rule explains why these triangles are congruent?
sss
sas
asa
these triangles cannot be proven congruent.

Explanation:

1. Identify corresponding congruent parts:

• Side $QS$ ≅ Side $VU$ (single tick mark)
• Angle $\angle QST$ ≅ Angle $\angle UVW$ (curved angle mark)
• Side $ST$ ≅ Side $VW$ (double tick mark)

1. Match to congruence rules: The pattern is two sides and the included angle (the angle between the two sides) being congruent in both triangles, which fits the SAS (Side-Angle-Side) congruence rule.

Answer:

SAS